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I have to prove that the product of any n consecutive integers is divisible by n!(eg:the product of five consecutive integers is divisible by 5!) It's easy enough to plug in numbers and prove it is true, but i'm finding it difficult to come up with a proper proof. Can someone help me please? Many Thanks Fazia (university mathematics student) 

Let M be the largest of the n numbers.
The answer to 2) is relevant to your question,
but most importantly Claude 

